A remote ranch has a cylindrical water storage tank. It has a vertical central axis, a diameter of 16 ft, the sides are 5 ft high, and it is full to the brim. The depth of this water is 4 ft. How much work (in ft-lb) would be required to pump all of the water over the upper rim? (Use the fact that water weighs 62.5 lb/ft3. Round your answer to the nearest integer.)
Answer and Step-by-step explanation:
Given: diameter = 16ft height = 5 ft. Depth = 4ft
Work =?
As we know that work = force x distance
W= distance x density x volume
W= ʃ04 (5-y) 62.5x ∏ (d/2)2dy (area = ∏r2 , r= d/2)
= 62.5 ʃ04 (5-y) ∏ (4y) dy
=62.5∏ ʃ04 (5-y) 4ydy
=62.5∏ ʃ04 20y-4y2dy
=62.5∏ |20y2/2 – 4y3/3|04
=62.5∏ |74.66|
=14659ft.lbs (approximately)
The work (in ft-lb) that would be required to pump all of the water over the upper rim is :
Given: Diameter = 16ft Height = 5 ft. Depth = 4ftWork =?
Formula:work = force x distance
W= distance x density x volume
W= ʃ04 (5-y) 62.5x ∏ (d/2)2dy (area = ∏r2 , r= d/2)
W = 62.5 ʃ04 (5-y) ∏ (4y) dy
W =62.5∏ ʃ04 (5-y) 4ydy
W =62.5∏ ʃ04 20y-4y2dy
W =62.5∏ |20y2/2 – 4y3/3|04
W =62.5∏ |74.66|
W =14659ft.lbs (approximately)
The work (in ft-lb) that would be required to pump all of the water over the upper rim is 14659ft.lbs
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What is 6.25 divided by 132? Please I need an answer
Answer:
0.0473484848
its what the calculator said
Why is the answer e and not c?
Step-by-step explanation:
π ∫₀¹ x² dx
This integral is obtained using disk method. Each disk has a volume of V = πr²t, so the radius is r = x.
The region is 0 ≤ y ≤ x, 0 ≤ x ≤ 1.
Revolved around the x-axis, the resulting shape is a cone.
If the shape were a paraboloid, the integral would have been:
π ∫₀¹ (x²)² dx
π ∫₀¹ x⁴ dx
Last year, my parents had a combined income of $84,000. They paid $20,400 in federal income taxes. What simplified fraction shows how much my parents spent on their federal taxes?
The fraction that shows how much my parents spent on their federal taxes is___
(Simplify your answer. Type a fraction.)
Find the value of x for which the lines rand s are parallel.
Answer:
x = 12
Step-by-step explanation:
<1 and the 142-deg angle are vertical, so m<1 = 142 deg
The angle measuring 3x + 2 and <1 are same-side interior angles. If the lines are parallel, then those two angles are supplementary.
3x + 2 + 142 = 180
3x + 144 = 180
3x = 36
x = 12
За – 6а + 2 = 8а + 20 – 5а
Answer:
a = -3
Step-by-step explanation:
3a - 6a + 2 = 8a + 20 - 5a
Combine Like Terms
-3a + 2 = 3a + 20
-2 -2
-------------------------------------
-3a = 3a + 18
-3a -3a
-------------------------------------
-6a = 18
---- ----
-6 -6
a = -3
Determine whether the statement is true or false:
A linear equation has ONE solution when both sides of the equation are equivalent.
Group of answer choices
True
False
Answer:
True
Two equations are said to be equivalent when they have the same solution set.
A rolling pin has a diameter of 5 inches. If Lin rolled across the table and it made 35 rotations how far did it travel?
Answer:
2.22 rotations
Step-by-step explanation:
First, have to multiply the diameter by Pi. 5 * π = 15.7
15.7 is the circumference because the formula for circumference is d * π = c (diameter=d, circumference=c)
Next, 35/15.7 is 2.22.
You divide the 35 by 15.7 because if 15.7 inches is one rotation, then you want to see how many rotations fit into 35.
The rolling pin travels a distance of 549.5 inches in 35 rotations.
What is a sphere?A sphere has a spherical, symmetrical form. It is a three-dimensional solid with equal distances between each surface point and the center.
Given that, the diameter of the rolling pin is 5 inches.
The circumference of the rolling pin is:
5π
= 5×3.14
=15.7
Therefore, the rolling pin covers 15.7 inches in one rotation.
1 rotation = 15.7 inches
35 rotation = 35 ×15.7 inches
35 rotation = 549.5 inches
Hence, the rolling pin travels a distance of 549.5 inches in 35 rotations.
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19/2 ÷ 38/7 help me please
Answer:
1.75
Step-by-step explanation:
Answer:
1 3/4
Step-by-step explanation:
dowload fraction caultor and it will tell u the anwers
evaluate the expression 9 - z when z =4
Answer:
z equals 5
Step-by-step explanation:
if you subtract 9 by 4 you get 5... hope that helps :)
what two prime nummberss addup to 18,26,30
Answer:
For 18- 11 +7
For 26-13+13
For 30- 23+7
The absolute value of 4-7i is equal to the square root of
Answer:65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
got it right on the quiz on edge 2021
Which is greater? 85% or 4/5
Answer:
85%
Step-by-step explanation:
4/5 is the equivalent to 80% so therefore the answer to your question, 85% is bigger than 4/5.
Answer:
85% is greater then 4/5
1. Rule: Each succeeding term is obtained by multiplying the two previous ones. Write the next five terms of the sequence. 1, 3,_,_,_,_,_
5, 7, 9, 11, 13 add 2
solve the absolute value equation and check your answer for extraneous solution. I-4xI=32
Answer:
x=8
Step-by-step explanation:
I-4xI=32
4x=32
4x÷4 → 32÷4
=8 →x=8
When the national economy goes from bad to better, market research shows changes in the sales at various types of
restaurants. Projected 2011 sales at quick-service restaurants are $164.8 billion, which was 3% better than in 2010. Projected 2011 sales at
full-service restaurants are $184.2 billion, which was 1.2% better than in 2010. How will the dollar growth in quick-service restaurants sales
compared to the dollar growth for full-service places?
Solve the inequality a/5 less than 1.
Answer:
hummmm
Step-by-step explanation:
Most of the time, an inequality has more than one or even infinity solutions. For example the inequality: x>3 . The solutions of this inequality are "all numbers strictly greater than 3". ... The inequality has an infinite amount of solutions
in inequality u can not cross multiply
When it is 9:00 P.M. in Tokyo, what time is it in Rio de Janeiro?
Answer:
Since Tokyo is 12 hours ahead of Rio de Janeiro so it'll be 9 :00 am in Rio de Janeiro when it's 9 :00 pm in Tokyo.
4 radians
А
2 cm
B
What is the length of the arc subtended by the angle measuring 4 radians?
A.
4 cm
B.
2 cm
C
16 cm
D
8 cm
Answer:
D. 8 cm
Step-by-step explanation:
Given :
Let the length of the arc be = l
radius of the arc, r = 2 cm
degree of angle subtended at the center by the arc, θ = 4 radian
Now we know that the angle subtended by an arc at the center of the circle whose radius is 2 cm will be,
θ = l/r
Therefore, we can write,
l = θ x r
l = 4 x 2
= 8 cm
So the length of the arc is 8 cm.
Landon mixes 6 parts yellow paint with 3 part blue paint to make green she adds 1 more part of yellow to change the shade of green. What is the new ratio of yellow to blue?
A. 3 to 7
B. 4 to 7
C. 6 to 4
D. 7 to 3
Answer:
d
Step-by-step explanation:
In the given figure, x = 30°. What's the property of parallel lines used to find x? Question 6 options: A) Angles at the same side of the transversal are supplementary. B) Alternate interior angles are congruent. C) Alternate exterior angles are congruent. D) Corresponding angles are congruent.
Answer:
Option (C)
Step-by-step explanation:
Option A.
"Angles at the same side of the transversal are supplementary".
But the angles given are not on the same side of the transversal.
Option B.
"Alternate interior angle are congruent"
These angles are not the interior angles.
Option C.
"Alternate exterior angles are congruent"
Both the angles are alternate and exterior angles.
Therefore, Option (C) is the correct option.
Option D.
"Corresponding angles are congruent"
These angles are not the corresponding angles.
Answer:
C
Step-by-step explanation:
Properly speaking, we should limit our predictions to the range of the base data.a. true b. false
Answer:
TRUE
Step-by-step explanation:
Find the z score that corresponds to P30 (the 30th percentile).
Answer:
Step-by-step explanation:
From the standard normal distribution tables it is -0.524.
The value of Z score for P 30 is - 0.524
What is Z score ?Z score is the value that relates the data with the mean of the data , A ,0 , Z score means the data point is equal to the mean.
It is given to find
the z score that corresponds to P 30%
From the standard normal distribution table the value corresponding to 30 % is -0.524.
Therefore the value of Z score for P 30 is - 0.524
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2. Maya has a piece of fabric in the shape of a parallelogram. Its height is 12 feet and its base is 18 feet. She cuts the fabric into four equal parallelograms by cutting the base and the height in half. What is the area of each new parallelogram?
Answer:
54 square feet each
Step-by-step explanation:
So she has a parallelogram, 12 feet high and 18 feet long. She cuts them into fours, which is basically just cutting each number in half. 12÷2 is 6. 18÷2 is 9. Now each four parallelograms all have the measurements of 6 feet high and 9 feet wide. To find area, you would multiply and the base times height. 6 x 9 gives you 54 square feet.
The femur or thigh bone of an average human is 480 millimeters long. The spinal cord of an average human is 45 centimeters long. What is the total length of a spinal cord and a femur in meters
PLEASE NEED HELP
Answer:
0.93m
Step-by-step explanation:
Convert 480 mm to m
480mm x (1m/1000mm) = 0.48m
Convert 45 cm to m
45cm x (1m/100cm) = 0.45m
Add the two numbers up
0.48m + 0.45 m = 0.93 m
Simplify the expression: (3m + 1)(2)
Answer:
6m + 2
Step-by-step explanation:
To simplify the expression you must have to use the distributive property:
(3m + 1)(2)
2 x 3m = 6m
2 x 1 = 2
6m + 2
If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1.
What is the numerator of the fraction?
A. 2
B. 9
C. 16
I will give brainlist to the one who gets the answer right....
Answer:
B
Step-by-step explanation:
Assuming the denominator is 16 (to fit with the second part), 9+3 is 12 and 12/16 is 3/4.
If we take 7 from 16 we also get 9, which is thus 1.
Help!! 20 points ASAP math
Answer: A is located at (3,4) B is located at (2,1)
Step-by-step explanation:
find KP in simplest radical form id K(5,6) and P(1, -4)
Answer:
move over 5 to the right and 6 up
move 1 to the right and 4 down to get your answer
please help me with math.
Answer:
300 j/kg
Step-by-step explanation:
In order to find her velocity, you will need to divide energy by mass meaning you will have to do 15000/50 = 300 J/kg
